Perform the addition or subtraction and write the result in standard form. (8+sqrt -18) - (4+3sqrt2i) I know that you have to subtract 8 from 4 but I do not know what to do after this.

sqrt (-18) = sqrt(-1*9*2) = 3 i sqrt2

The two imaginary parts cancel out when you subtract, and you are left with just 8 - 4 = 4.

To perform the addition or subtraction, start by simplifying each term separately. Let's break it down step by step:

1. Simplify the first term: (8 + √-18)
- Start by simplifying the square root of -18. Remember that the square root of a negative number is an imaginary number. In this case, √-18 simplifies to 3i√2 because the square root of 9 is 3 and the square root of 2 remains under the radical sign.
- Therefore, the first term becomes (8 + 3i√2).

2. Simplify the second term: (4 + 3√2i)
- Since there is no square root involved in this term, you can leave it as is.

3. Subtract the terms: (8 + 3i√2) - (4 + 3√2i)
- Subtract the real numbers, 8 - 4 = 4.
- Subtract the imaginary parts, 3i√2 - 3√2i = 0 because the imaginary terms cancel each other out.

4. Write the result in standard form:
- The simplified answer is 4 + 0i.
- However, in standard form, we usually drop the imaginary part if it is 0.
- Therefore, the final result is simply 4.